Abelian powers and repetitions in Sturmian words

DOI10.1016/j.tcs.2016.04.039zbMath1346.68150arXiv1506.02797OpenAlexW2963659561MaRDI QIDQ287434

Filippo Mignosi, Thierry Lecroq, Jarkko Peltomäki, Gabriele Fici, Arnaud Lefebvre, Élise Prieur-Gaston, Alessio Langiu

Publication date: 26 May 2016

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.02797

zbMATH Keywords

critical exponentSturmian wordFibonacci wordabelian periodabelian powerLagrange constant

Mathematics Subject Classification ID

Combinatorics on words (68R15) Markov and Lagrange spectra and generalizations (11J06)

Related Items (11)

Abelian-square-rich words ⋮ Maximum number of distinct and nonequivalent nonstandard squares in a word ⋮ Fast algorithms for abelian periods in words and greatest common divisor queries ⋮ The undirected repetition threshold and undirected pattern avoidance ⋮ Abelian periods of factors of Sturmian words ⋮ Abelian combinatorics on words: a survey ⋮ Avoiding abelian powers cyclically ⋮ On $k$-abelian equivalence and generalized Lagrange spectra ⋮ Unnamed Item ⋮ More on the dynamics of the symbolic square root map ⋮ Aperiodic two-dimensional words of small abelian complexity

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